Formal Semantics in Modern Type Theories: Is It Model-Theoretic, Proof-Theoretic, or Both?

  • Zhaohui Luo
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8535)


In this talk, we contend that, for NLs, the divide between model-theoretic semantics and proof-theoretic semantics has not been well-understood. In particular, the formal semantics based on modern type theories (MTTs) may be seen as both model-theoretic and proof-theoretic. To be more precise, it may be seen both ways in the sense that the NL semantics can first be represented in an MTT in a model-theoretic way and then the semantic representations can be understood inferentially in a proof-theoretic way. Considered in this way, MTTs arguably have unique advantages when employed for formal semantics.


Type Theory Formal Semantic Proof Assistant Type Constructor Meaning Theory 
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© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Zhaohui Luo
    • 1
  1. 1.Department of Computer ScienceRoyal Holloway, University of LondonUK

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